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MBA IT, Mater in Science and Technology
Devry
Jul-1996 - Jul-2000
Professor
Devry University
Mar-2010 - Oct-2016
Can you please answer the word document attached?
Thank you,
Daisy
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1. Prove or disprove.A. The diference oF any two odd integers is odd.B. An odd integer minus an even integer is odd.2. Given∑i=1n(2i−1)=n2A. Write P(n) without using the sigma (∑) nota±on.B. Do a prooF by mathema±cal induc±on using the 4 steps below to show that the statement is true Forevery posi±ve integer n:Hint: use the weak principle oF mathema±cal induc±on.(a) Show that the base step is true(b) What is the induc±ve hypothesis?(c) What do we have to show?(d) ProoF proper:∴3. Do a prooF by mathema±cal induc±on using the 4 steps below to show that the Following statement istrue For every posi±ve integer n:Hint: use the weak principle oF mathema±cal induc±on.5+10 +15 +... +5n= (5n(n+1))/2a.Show that the base step is trueb.What is the induc±ve hypothesis?c.What do we have to show?d.ProoF proper (Jus±Fy each step):
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